Smoothing - Strichartz Estimates for the Schrödinger Equation with Small Magnetic Potential
نویسندگان
چکیده
The work treats smoothing and dispersive properties of solutions to the Schrödinger equation with magnetic potential. Under suitable smallness assumption on the potential involving scale invariant norms we prove smoothing Strichartz estimate for the corresponding Cauchy problem. An application that guarantees absence of pure point spectrum of the corresponding perturbed Laplace operator is discussed too. 2000 Mathematics Subject Classification: 35Q40; 35F25.
منابع مشابه
Smoothing - Strichartz Estimates for the Schrödinger Equation with Small Magnetic Potential Vladimir Georgiev, Atanas Stefanov and Mirko Tarulli
The work treats smoothing and dispersive properties of solutions to the Schrödinger equation with magnetic potential. Under suitable smallness assumption on the potential involving scale invariant norms we prove smoothing Strichartz estimate for the corresponding Cauchy problem. An application that guarantees absence of pure point spectrum of the corresponding perturbed Laplace operator is disc...
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تاریخ انتشار 2006